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प्रश्न
Using the method of successive subtraction examine whether or not the following numbers is perfect cube 1331 .
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उत्तर
We have:
1331
1
1330
7
1323
19
1304
37
1267
61
1206
91
1115
127
988
169
819
217
602
271
331
331
0
∵ The subtraction is performed 11 times.
∴ \[\sqrt[3]{1331} = 11\]
Thus, 1331 is a perfect cube.
संबंधित प्रश्न
Find the cube root of the following number by the prime factorisation method.
110592
Using the method of successive subtraction examine whether or not the following numbers is perfect cube 130 .
Using the method of successive subtraction examine whether or not the following numbers is perfect cube 345 .
\[\sqrt[3]{8 \times . . .} = 8\]
\[\sqrt[3]{1728} = 4 \times . . .\]
Find The cube root of the numbers 3048625, 20346417, 210644875, 57066625 using the fact that 3048625 = 3375 × 729 .
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Making use of the cube root table, find the cube root
5112 .
Find the cube root of -1331.
Find the cube root of 1728.
